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Finding the Third Proportional to 1,536,821 and 3,310,378

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Solution

The third proportional to 1,536,821 and 3,310,378 is: 7,130,695.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536,821 : 3,310,378 = 3,310,378 : x
  2. Step 2: Convert to fraction form
    1,536,821/3,310,378 = 3,310,378/x
  3. Step 3: Cross multiply
    1,536,821x = 3,310,378 × 3,310,378
  4. Step 4: Simplify right side
    1,536,821x = 10,958,602,502,884
  5. Step 5: Solve for x
    x = 10,958,602,502,884/1,536,821
  6. Step 6: Final answer
    x = 7,130,695.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.